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Finding the Fourth Proportional to 17,847.39, 24,622.32 and 11,472.90

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Solution

The fourth proportional to 17,847.39, 24,622.32 and 11,472.90 is: 15,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.39 : 24,622.32 = 11,472.90 : x
  2. Step 2: Convert to fraction form
    17,847.39/24,622.32 = 11,472.90/x
  3. Step 3: Cross multiply
    17,847.39x = 24,622.32 × 11,472.90
  4. Step 4: Simplify right side
    17,847.39x = 282,489,415.13
  5. Step 5: Solve for x
    x = 282,489,415.13/17,847.39
  6. Step 6: Final answer
    x = 15,828.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.